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arXiv:0709.4147 [math.PR]AbstractReferencesReviewsResources

Uniqueness of solutions of stochastic differential equations

A. M. Davie

Published 2007-09-26Version 1

We consider a d-dimensional stochastic differential equation with additive noise and a drift coefficient which is assumed only to be a bounded Borel function. We show that, for almost all choices of the driving Brownian path, the equation has a unique solution.

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